Finding the Fourth Proportional to 3,769.48, 5,631.92 and 3,640.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,769.48 : 5,631.92 = 3,640.30 : x
2. Step 2: Convert to fraction form
   3,769.48/5,631.92 = 3,640.30/x
3. Step 3: Cross multiply
   3,769.48x = 5,631.92 × 3,640.30
4. Step 4: Simplify right side
   3,769.48x = 20,501,878.38
5. Step 5: Solve for x
   x = 20,501,878.38/3,769.48
6. Step 6: Final answer
   x = 5,438.91